Work

Susceptibilities of rotating quark matter in Fourier-Bessel basis

Year: 2025

Type: article

Abstract: A bstract We analyze various two-point correlation functions of fermionic bilinears in a rotating finite-size cylinder at finite temperatures, with a focus on susceptibility functions. Due to the noninvariance of radial translation, the susceptibility functions are constructed using the Dirac propagator in the Fourier-Bessel basis instead of the plane-wave basis. As a specific model to demonstrate the susceptibility functions in an interacting theory, we employ the two-flavor Nambu-Jona-Lasinio model. We show that the incompatibility between the mean-field analysis and the Fourier-Bessel basis is evaded under the local density approximation, and derive the resummation formulas of susceptibilities with the help of a Ward-Takahashi identity. The resulting formulation reveals the rotational effects on meson, baryon number, and topological susceptibilities, as well as the moment of inertia. Our results may serve a useful benchmark for future lattice QCD simulations in rotating frames.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep11(2025)170

Authors: Mamiya Kawaguchi, Kazuya Mameda

Institutions: Anhui University of Science and Technology, Tokyo University of Science, RIKEN, RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences

Language: English

Topic: High-Energy Particle Collisions Research

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Japan Society for the Promotion of Science

Awards: 回転系のQCD物質に対する基礎理論の再構築, G8463829330